Here are the essential concepts you must grasp in order to answer the question correctly.
Substitution Method
The substitution method is a technique used to solve systems of equations by expressing one variable in terms of the other. In this method, you solve one equation for one variable and then substitute that expression into the other equation. This allows you to find the values of both variables systematically.
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Quadratic Functions
Quadratic functions are polynomial functions of degree two, typically expressed in the form y = ax^2 + bx + c. They graph as parabolas and can open upwards or downwards depending on the sign of the coefficient 'a'. Understanding their properties, such as vertex, axis of symmetry, and intercepts, is crucial for solving equations involving quadratics.
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Graphing Intersections
Finding the intersection points of two equations involves determining where their graphs meet. In the context of the given system, this means identifying the values of x and y that satisfy both equations simultaneously. Graphical interpretation helps visualize solutions and can confirm algebraic results.
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